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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 435120.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 435120.f1 | 435120f1 | \([0, -1, 0, -207776, 38827776]\) | \(-2058561081361/155400000\) | \(-74885753241600000\) | \([]\) | \(5529600\) | \(1.9862\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435120.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 435120.f do not have complex multiplication.Modular form 435120.2.a.f
sage: E.q_eigenform(10)